Cramér Conjecture

The Cramér conjecture is the unproven conjecture that

where  is the th prime.

REFERENCES:

Cramér, H. "On the Order of Magnitude of the Difference Between Consecutive Prime Numbers." Acta Arith. 2, 23-46, 1936.

Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 7, 1994.

Riesel, H. "The Cramér Conjecture." Prime Numbers and Computer Methods for Factorization, 2nd ed. Boston, MA: Birkhäuser, pp. 79-82, 1994.

Rivera, C. "Problems & Puzzles: Conjecture 007.-The Cramer's Conjecture." https://www.primepuzzles.net/conjectures/conj_007.htm.